4x-12000x^1/x^2=0

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Solution for 4x-12000x^1/x^2=0 equation: 


D( x )

x^2 = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in (-oo:0) U (0:+oo)

4*x-((12000*x^1)/(x^2)) = 0

4*x-12000*x^-1 = 0

4*x^1-12000*x^-1 = 0

(4*x^2-12000*x^0)/(x^1) = 0 // * x^2

x^1*(4*x^2-12000*x^0) = 0

x^1

4*x^2-12000 = 0

4*x^2-12000 = 0

DELTA = 0^2-(-12000*4*4)

DELTA = 192000

DELTA > 0

x = (192000^(1/2)+0)/(2*4) or x = (0-192000^(1/2))/(2*4)

x = 10*30^(1/2) or x = -10*30^(1/2)

x in { -10*30^(1/2), 10*30^(1/2)} 

x in { -10*30^(1/2), 10*30^(1/2) }

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